Group theory - SOLUTIONS to problem set 1 (SYMMETRY GROUPS)

preview_player
Показать описание
00:00 problem 1
08:08 problem 2
14:03 problem 3
24:27 problem 4
  1. Der Matheflüsterer
Рекомендации по теме
Group theory, abstraction, 0:21:58

Group theory, abstraction, and the 196,883-dimensional monster

Groups - Showing 0:05:35

Groups - Showing G is a group - Part 1

Simple Groups - 0:08:53

Simple Groups - Abstract Algebra

Group theory - 0:20:00

Group theory - SOLUTIONS to problem set 7 (INTEGERS MOD n)

Group theory - 0:29:56

Group theory - SOLUTIONS to problem set 6, part 2 (EQUIVALENCE RELATIONS)

Group Theory Proof: 0:09:27

Group Theory Proof: The Equation ax = b has a Unique Solution

Why you can't 0:45:24

Why you can't solve quintic equations (Galois theory approach) #SoME2

Group theory - 0:18:57

Group theory - SOLUTIONS to problem set 4, part 1 (WORKING WITH THE GROUP AXIOMS)

MATH 235 - 2:05:09

MATH 235 - Abstract Algebra 1 - Exercise Session : Sylow Theorems and Rings

Group theory - 0:20:38

Group theory - SOLUTIONS to problem set 6, part 1 (EQUIVALENCE RELATIONS)

Group theory - 0:15:57

Group theory - SOLUTIONS to problem set 5, part 2 (SUBGROUPS)

mcq group theory 0:01:08

mcq group theory abstract algebra modern algebra number of cosets in cyclic group

Abstract Algebra Exam 1:22:00

Abstract Algebra Exam 1 Review Problems and Solutions

Group theory - 0:15:43

Group theory - SOLUTIONS to problem set 3, part 1 (SYMMETRIES AS MATRICES)

mcq 10 centre 0:00:32

mcq 10 centre of cyclic group theory abstract algebra modern algebra

Group theory - 0:20:13

Group theory - SOLUTIONS to problem set 3, part 2 (SYMMETRIES AS MATRICES)

Group theory - 0:25:36

Group theory - SOLUTIONS to problem set 4, part 2 (WORKING WITH THE GROUP AXIOMS)

Group Theory MCQ 0:16:21

Group Theory MCQ

Group and Abelian 0:10:44

Group and Abelian Group

IIT-JAM 2024 GROUP 0:52:00

IIT-JAM 2024 GROUP THEORY COMPLETE SOLUTION | MANISH GOKANI#IITJAM2024 #IITJAMMATHS

IIT JAM 2021 0:52:20

IIT JAM 2021 GROUP THEORY COMPLETE SOLUTION

Cyclic Groups, Generators, 0:10:38

Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra

IIT JAM (2022) 0:45:47

IIT JAM (2022) | Group Theory | Mathematics | Paper Solution

Problems and Solutions, 0:15:35

Problems and Solutions, Group Theory, Basics, Problem 3

Комментарии
Автор

Problems 1, 2, 3 were fun!

Problem 4 was hard in the beginning. Then I tried to understand the notation and wrote down the simpliest terms.
[ f ] (a) = f(a)
[ f ° g ] (a) = [ f ] ° g(a) = f(g(a)) means: first calculate function g of a and than calcualte f of g (that was calculated of a).
[ f ° g ° h ] (a) = [ f ° g ] ° h(a) = [ f ] ° g(h(a)) = f(g(h(a))) means: first calculate h of a, than calculate g of h (that was calculated of a) and than calculate f of g (that ...)

Now, it was fun, too.
[ { f ° g } ° h ] (a) = [ f ° g ] ° h(a) = [ f ] ° g(h(a)) = f(g(h(a)))
[ f ° { g ° h } ] (a) = [ f ] ° { g ° h } (a) = [ f ] ° g(h(a)) = f(g(h(a)))

crisle
Автор

Thank you for taking the time to create these videos! I am the perfect audience for your videos.

whiskeywho